Answer:
The Slope of both the lines is the same.
Step-by-step explanation:
Given two co-ordinates (x1, y1) and (x2, y2), the slope of a line can be found using the formula:
For the diagonal line of the first triangle, the coordinates are (0, 0) and (2, 1)
For the diagonal line of the large triangle, the coordinates are (2, 1) and (6, 3)
The angles of a triangle all add up to 180°. In fact, it can be generalized that the sum of the interior angles of an n-sided polygon is equal to 180°(n–2).
A right triangle must have a right angle, which is equal to 90°. If the other angle is 42°, that means that we can find the third angle by subtracting 90° + 42° from 180°.
x = 180° – (90° + 42°) = 48°
3 1/4 = 3.25
-2 2/3 = -2.6667
3.25 + (- 2.6667)
= 3.25 - 2.6667
= ~0.58
therefore best estimate is 0
Answer:
21
Step-by-step explanation:
factors of 42: 1,42, 2,<u>21</u>, 3,14, 6,7
factors of 63: 1,63, 3,<u>21</u>, 7,9
<u>Given</u><u> </u><u>info:</u><u>-</u>If the radius of a right circular cylinder is doubled and height becomes 1/4 of the original height.
Find the ratio of the Curved Surface Areas of the new cylinder to that of the original cylinder ?
<u>Explanation</u><u>:</u><u>-</u>
Let the radius of the right circular cylinder be r units
Let the radius of the right circular cylinder be h units
Curved Surface Area of the original right circular cylinder = 2πrh sq.units ----(i)
If the radius of the right circular cylinder is doubled then the radius of the new cylinder = 2r units
The height of the new right circular cylinder
= (1/4)×h units
⇛ h/4 units
Curved Surface Area of the new cylinder
= 2π(2r)(h/4) sq.units
⇛ 4πrh/4 sq.units
⇛ πrh sq.units --------(ii)
The ratio of the Curved Surface Areas of the new cylinder to that of the original cylinder
⇛ πrh : 2πrh
⇛ πrh / 2πrh
⇛ 1/2
⇛ 1:2
Therefore the ratio = 1:2
The ratio of the Curved Surface Areas of the new cylinder to that of the original cylinder is 1:2